TY - JOUR
T1 - Combinatorial Aspects of An Odd Linkage Property for General Linear Supergroups
AU - Marko, František
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.
PY - 2022/12
Y1 - 2022/12
N2 - Let G = GL(m|n) be a general linear supergroup, and Gev be its even subsupergroup isomorphic to GL(m) ×GL(n). In this paper, we use the explicit description of Gev-primitive vectors in the costandard supermodule ∇(λ), the largest polynomial G-subsupermodule of the induced supermodule HG0(λ), for (m|n)-hook partition λ, and properties of certain morphisms ψk to derive results related to odd linkage for G over a field F of characteristic different from 2.
AB - Let G = GL(m|n) be a general linear supergroup, and Gev be its even subsupergroup isomorphic to GL(m) ×GL(n). In this paper, we use the explicit description of Gev-primitive vectors in the costandard supermodule ∇(λ), the largest polynomial G-subsupermodule of the induced supermodule HG0(λ), for (m|n)-hook partition λ, and properties of certain morphisms ψk to derive results related to odd linkage for G over a field F of characteristic different from 2.
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U2 - 10.1007/s10468-021-10073-7
DO - 10.1007/s10468-021-10073-7
M3 - Article
AN - SCOPUS:85108534994
SN - 1386-923X
VL - 25
SP - 1429
EP - 1460
JO - Algebras and Representation Theory
JF - Algebras and Representation Theory
IS - 6
ER -